Answer:
a
The null hypothesis is 
The alternative hypothesis is 
b

c

d
There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is
The sample standard deviation is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally the p-value is obtain from the z-table the value is

=> 
From the calculation we see that
hence we fail to reject the null hypothesis
Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900
no 5/6 is not less than 4/5
Answer:
210 m²
Step-by-step explanation:
The area of a rhombus is d₁ * d₂ * 0.5. In other words, the area is its diagonals multiplied together and divided by 2.
Substitute the measures of the diagonal given.
35 * 12 * 0.5 = 210
The area is 210 m²
I hope this helps! Feel free to ask any questions!
Why is (D₁ + D₂)/2 incorrect?
This is a really helpful link:
http://mathandmultimedia.com/2015/03/04/why-the-area-of-a-rhombus-half-the-product-of-its-diagonals/
https://byjus.com/maths/area-of-rhombus/
Answer:
Step-by-step explanation:
X <3y+1
Answer:
19.7 or 20 rounded
Step-by-step explanation:
A = $ 1,861.65
A = P + I where
P (principal) = $ 630.00
I (interest) = $ 1,231.65
Continuous Compounding Formulas (n → ∞)
Calculate Accrued Amount (Principal + Interest)
A = Pe^rt
Calculate Principal Amount, solve for P
P = A / e^rt
Calculate rate of interest in decimal, solve for r
r = ln(A/P) / t
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / r